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Finding the Third Proportional to 126,466,930.50 and 292,752,712.13

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Solution

The third proportional to 126,466,930.50 and 292,752,712.13 is: 677,680,324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,466,930.50 : 292,752,712.13 = 292,752,712.13 : x
  2. Step 2: Convert to fraction form
    126,466,930.50/292,752,712.13 = 292,752,712.13/x
  3. Step 3: Cross multiply
    126,466,930.50x = 292,752,712.13 × 292,752,712.13
  4. Step 4: Simplify right side
    126,466,930.50x = 85,704,150,456,543,120
  5. Step 5: Solve for x
    x = 85,704,150,456,543,120/126,466,930.50
  6. Step 6: Final answer
    x = 677,680,324.16

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.